The other limit \(\beta /\alpha \gg 1\) , the problem becomes identical to a yield stress fluid [1]}, [2]}, [3]}.
The critical path is then related to the directed polymer problem [1]}, [5]}, [6]}, as it corresponds to the path that minimize the sum of local pressure threshold \(\Delta P_c = \min \sum (q_c/\alpha )\) .
